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3 years ago

Shayla states that r2+5r+3r is an equivalent expression to 9r. Why is Shayla’s statement incorrect? Explain

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

8 0

Answer:

Shayla is incorrect because if you add them it would be 8r+r2

Step-by-step explanation:

You should probably double check because the question it a little confusing and I could always be wrong.

Allushta [10]3 years ago

5 0

Answer:

Her Statement is wrong

Step-by-step explanation:

LHS = 2r + 5r + 3r

= 10r

RHS = 9r

LHS ≠ RHS

∴ Shayla's statement is wrong

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What are two possible transformations that together could have been used to create the red figure from the blue figure?

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Id say <em>2 and 3 . </em><em /> It has to reflect off of the Y axis to look like the red figure. Other than that I can't help.

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3 years ago

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Find the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1)

Flauer [41]

Answer:

The coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are $\mathbf{(13,\frac{-9}{2})}$

Step-by-step explanation:

We need to find the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1)

The midpoint of line segment can be found using formula:

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

We have $x_1=14, y_1=-8, x_2=12, y_2=-1$

Putting values and finding midpoint

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\Midpoint=(\frac{14+12}{2},\frac{-8-1}{2})\\Midpoint=(\frac{26}{2},\frac{-9}{2})\\Midpoint=(13,\frac{-9}{2})$

So, the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are $\mathbf{(13,\frac{-9}{2})}$

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3 years ago

Dominic collected data on the favorite sports of the

trasher [3.6K]

Answer:

In Grade 8, 17% of students liked running

Step-by-step explanation:

Although this table is incomplete, there are still enough information to answer.

First, we need to be aware that the data here is written in decimal numbers, which is another way to write percentages.

In other words, 100% equals to 1, which is to say that if we multiply decimal number with 100 we'll get the percentage:

0.39 = 39%

0.04 = 4%

Another important thing to establish is that the value of decimal number DOES NOT mean the number of people, it only suggests the ratio:

0.26 does not mean 26 people etc.

Knowing this, from this incomplete table, we see that 0.17 students from grade 8 liked running. And now we know that 0.17 equals to 17%, which makes B the correct answer.

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4 years ago

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William bought pencil boxes for his art class. Each box costs $3.50. He gave $30 to the cashier and got $5.50 as change. How man

mr_godi [17]

Answer:

Step-by-step explanation:

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3 years ago

Check answer please

Cerrena [4.2K]

The fourth or the D) Option is correct.

To find the new induced matrix via a scalar quantified multiplication we have to multiply the scalar quantity with each element surrounded and provided in a composed (In this case) 3×3 or three times three matrix comprising 3 columns and 3 rows for each element which is having a valued numerical in each and every position.

Multiply the scalar quantity with each element with respect to its row and column positioning that is,

Row × Column. So;

(1 × 1) × 7, (2 × 1) × 7, (3 × 1) × 7, (1 × 2) × 7, (2 × 2) × 7, (3 × 2) × 7, (1 × 3) × 7, (2 × 3) × 7 and (3 × 3) × 7. This will provide the final answer, that is, the D) Option.

To interpret and make it more interesting in LaTeX form. Here is the solution with LaTeX induced matrix.

$\mathcal{A = \begin{bmatrix}1 & 0 & 3 \\ 2 & -1 & 2 \\ 0 & 2 & 1 \\ \end{bmatrix}}$

$\mathbf{\therefore \quad 7A = 7 \times \begin{bmatrix}1 & 0 & 3 \\ 2 & - 1 & 2 \\ 0 & 2 & 1 \\ \end{bmatrix}}$

$\mathbf{\therefore \quad \begin{bmatrix}7 \times 1 & 7 \times 0 & 7 \times 3 \\ 7 \times 2 & 7 \times -1 & 7 \times 2 \\ 7 \times 0 & 7 \times 2 & 7 \times 1 \\ \end{bmatrix}}$

$\therefore \quad \begin{\bmatrix}7 & 14 & 0 \\ 0 & -7 & 14 \\ 21 & 14 & 7 \end{bmatrix}$

Hope it helps.

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3 years ago